Solve 459.67div(9/5)=

$$459.67 \div ( \frac{ 9 }{ 5 } )=$$

Evaluate

$$\frac{45967}{180}\approx 255.372222222$$

Solution Steps

Divide 459.67 by \frac{9}{5} by multiplying 459.67 by the reciprocal of \frac{9}{5}.

$$459.67\times \frac{5}{9}$$

Convert decimal number 459.67 to fraction \frac{45967}{100}.

$$\frac{45967}{100}\times \frac{5}{9}$$

Multiply \frac{45967}{100} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45967\times 5}{100\times 9}$$

Do the multiplications in the fraction \frac{45967\times 5}{100\times 9}.

$$\frac{229835}{900}$$

Reduce the fraction \frac{229835}{900} to lowest terms by extracting and canceling out 5.

$$\frac{45967}{180}$$

Factor

$$\frac{43 \cdot 1069}{5 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 255\frac{67}{180} = 255.37222222222223$$